HYERS-ULAM STABILITY OF FOURTH ORDER EULER'S DIFFERENTIAL EQUATIONS

Abstract

In this work, we investigate the Hyers-Ulam stability of the fourth order Euler's differential equations of the form \[ t^4 y^{(iv)} + \alpha t^3 y''' + \beta t^2 y'' +\gamma t y' +\delta y = 0, \] on any open interval $I = (a, b)$, $0 < a < b \le\infty$ or $-\infty < a < b < 0$, where $\alpha$, $\beta$, $\gamma$ and $\delta$ are complex constants.